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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Volodin space ： ウィキペディア英語版 Volodin space In mathematics, more specifically in topology, the Volodin space $X$ of a ring ''R'' is a subspace of the classifying space $BGL(R)$ given by :$X\; =\; \backslash bigcup\_\; B(U\_n(R)^\backslash sigma)$ where $U\_n(R)\; \backslash subset\; GL\_n(R)$ is the subgroup of upper triangular matrices with 1's on the diagonal (i.e., the unipotent radical of the standard Borel) and $\backslash sigma$ a permutation matrix thought of as an element in $GL\_n(R)$ and acting (superscript) by conjugation. The space is acyclic and the fundamental group $\backslash pi\_1\; X$ is the Steinberg group $\backslash operatorname(R)$ of ''R''. In fact, Suslin's 1981 paper 〔A. A. Suslin, On the equivalence of K-theories, Comm. Algebra 9 (1981), no. 15, 1559–1566.〕 explains that ''X'' yields a model for the Quillen's plus-construction $BGL(R)/X\; \backslash simeq\; BGL^+(R)$ in algebraic K-theory. == Notes == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Volodin space」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.